Commenced in January 2007
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Paper Count: 1

blow up Related Publications

1 Blow up in Polynomial Differential Equations

Authors: Rudolf Csikja, Janos Toth

Abstract:

Methods to detect and localize time singularities of polynomial and quasi-polynomial ordinary differential equations are systematically presented and developed. They are applied to examples taken form different fields of applications and they are also compared to better known methods such as those based on the existence of linear first integrals or Lyapunov functions.

Keywords: Singularity, global existence, painleve analysis, blow up, finite escape time, polynomial ODE, Lotka–Volterra equation, Ψ-series

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